Search: id:A102319
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%I A102319
%S A102319 1,2,7,26,107,462,2065,9438,43811,205622,972917,4631838,22157525,
%T A102319 106406978,512629551,2476289106,11989326771,58163714118,282662269717,
%U A102319 1375801775214,6705710840657,32724623955882,159880046446611
%N A102319 A mean binomial transform of the central binomial numbers.
%C A102319 Second binomial transform of A082758 (with interpolated zeros).
%F A102319 G.f.: (1/sqrt(1-6x+5x^2)+1/sqrt(1-2x-3x^2))/2; a(n)=sum{k=0..floor(n/
               2), binomial(n, 2k)binomial(2(n-2k), n-2k)}; a(n)=sum{k=0..n, binomial(n, 
               k)binomial(2k, k)(1+(-1)^(n-k))/2}.
%F A102319 E.g.f.: cosh(x)exp(2x) I_0(2x); - Paul Barry (pbarry(AT)wit.ie), May 
               01 2005
%Y A102319 Sequence in context: A150567 A000151 A150568 this_sequence A006603 A080244 
               A124542
%Y A102319 Adjacent sequences: A102316 A102317 A102318 this_sequence A102320 A102321 
               A102322
%K A102319 easy,nonn
%O A102319 0,2
%A A102319 Paul Barry (pbarry(AT)wit.ie), Jan 04 2005

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